Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model

TL;DR

This paper calculates the masses of various heavy-light meson states using a relativistic quark model, investigates their Regge trajectories, and compares results with experimental data, highlighting both successes and discrepancies.

Contribution

It introduces a fully relativistic treatment of light and heavy quarks in meson spectroscopy without heavy quark expansion, providing new insights into Regge trajectories.

Findings

Good agreement with experimental meson masses except for some anomalous states.

Parameters of Regge trajectories are successfully extracted.

Discrepancies noted for D*_{s0}(2317), D_{s1}(2460), and D_{sJ}^*(2860).

Abstract

Masses of the ground, orbitally and radially excited states of heavy-light mesons are calculated within the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. Both light (q=u,d,s) and heavy (Q=c,b) quarks are treated fully relativistically without application of the heavy quark 1/m_Q expansion. The Regge trajectories in the (M^2, J) and (M^2, n_r) planes are investigated and their parameters are obtained. The results are in good agreement with available experimental data except for the masses of the anomalous D^*_{s0}(2317), D_{s1}(2460) and D_{sJ}^*(2860) states.